Joyce knits baby sweaters and baby socks. The baby sweaters take 10 feet of yarn and the baby socks take 5 feet of yarn. She has 100 feet of yarn and wants to make 5 sweaters. What is the maximum number of socks she will be able to make from the leftover yarn?

Let x represent sweaters and y represent socks.

Select one:
A. 8
B. 9
C. 11
D. 10

the maximum number of socks she will be able to make from the leftover yarn is 10

Step-by-step explanation:

Let x represent the number of sweaters.

Let y represent the number of socks.

The baby sweaters take 10 feet of yarn and the baby socks take 5 feet of yarn. This means that the total number of feet of yarn needed to make x sweaters and y socks is expressed as

10x + 5y

She has 100 feet of yarn and wants to make 5 sweaters. This means that

10 × 5 + 5y = 100

50 + 5y = 100

5y = 100 - 50 = 50

y = 50/5

y = 10

so, converting firstly the mixed fractions to improper fractions and then "adding".